164291160 has 128 divisors (see below), whose sum is σ = 545564160. Its totient is φ = 39244800.

The previous prime is 164291159. The next prime is 164291167. The reversal of 164291160 is 61192461.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164291167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92844 + ... + 94596.

It is an arithmetic number, because the mean of its divisors is an integer number (4262220).

Almost surely, 2^164291160 is an apocalyptic number.

164291160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164291160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272782080).

164291160 is an abundant number, since it is smaller than the sum of its proper divisors (381273000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164291160 is a wasteful number, since it uses less digits than its factorization.

164291160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 164291160 is about 12817.6113219273. The cubic root of 164291160 is about 547.6941035253.

It can be divided in two parts, 164291 and 160, that added together give a triangular number (164451 = T₅₇₃).

The spelling of 164291160 in words is "one hundred sixty-four million, two hundred ninety-one thousand, one hundred sixty".